Question

The number of integers x such that 0.25 < 2x < 200, and 2x +2 is perfectly divisible by either 3 or 4, is

Answer 1

0.25 ≤ 2x ≤ 200
Possible values of x satisfying the above inequality are -2, -1,0, 1, 2, 3, 4, 5, 6, 7.
When x = 0, 1, 2, 4 and 6, 2x+2 is divisible by 3 or 4.
The number of values of x is 5.